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2084666820 = 2235172120223
BaseRepresentation
bin111110001000001…
…0111110111000100
312101021200001021020
41330100113313010
513232133314240
6542505351140
7102442242555
oct17420276704
95337601236
102084666820
1197a816045
124a21984b0
13272b7c982
1415ac1832c
15c30390d0
hex7c417dc4

2084666820 has 72 divisors (see below), whose sum is σ = 6200673024. Its totient is φ = 523206144.

The previous prime is 2084666813. The next prime is 2084666849. The reversal of 2084666820 is 286664802.

It is a super-3 number, since 3×20846668203 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42772 + ... + 77451.

Almost surely, 22084666820 is an apocalyptic number.

2084666820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084666820 is an abundant number, since it is smaller than the sum of its proper divisors (4116006204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2084666820 is a wasteful number, since it uses less digits than its factorization.

2084666820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120269 (or 120250 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2084666820 is about 45658.1517365738. The cubic root of 2084666820 is about 1277.4548261134.

The spelling of 2084666820 in words is "two billion, eighty-four million, six hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 120223 240446 360669 480892 601115 721338 1202230 1442676 1803345 2043791 2404460 3606690 4087582 6131373 7213380 8175164 10218955 12262746 20437910 24525492 30656865 34744447 40875820 61313730 69488894 104233341 122627460 138977788 173722235 208466682 347444470 416933364 521166705 694888940 1042333410 2084666820